- Hacettepe Journal of Mathematics and Statistics
- Vol: 39 Issue: 2
- Direct local and global approximation results for Operators of Gamma Type
Direct local and global approximation results for Operators of Gamma Type
Authors : Harun Karsli, Ali Özarslan
Pages : 241-253
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Publication Date : 2010-02-01
Article Type : Research
Abstract :In this paper some direct local and global approximation results are obtained for the modified Gamma operators defined by A. Izgi and B¨uy¨ukyazıcı (Approximation and rate of approximation on unbounded intervals, Kastamonu Edu. J. Okt. 11 (2), 451–460, 2003 (in Turkish)), and independently by H. Karsli (Rate of convergence of a new Gamma Type Operator for functions with derivatives of bounded variation, Math. Comput. Modelling 45 (5-6), 617–624, 2007). Furthermore, a Voronoskaya type theorem is given for these operators.Keywords : Gamma operators, Positive linear operators, Local and global approximation, Voronovskaya type theorem